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444056013 = 353974603
BaseRepresentation
bin11010011101111…
…100000111001101
31010221120101100000
4122131330013031
51402134243023
6112021354513
714001261642
oct3235740715
91127511300
10444056013
11208726945
12104868a39
1370cc834b
1442d91dc9
1528eb7243
hex1a77c1cd

444056013 has 24 divisors (see below), whose sum is σ = 666990688. Its totient is φ = 295227504.

The previous prime is 444056003. The next prime is 444056021. The reversal of 444056013 is 310650444.

It is not a de Polignac number, because 444056013 - 26 = 444055949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444056003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94170 + ... + 98772.

Almost surely, 2444056013 is an apocalyptic number.

It is an amenable number.

444056013 is a deficient number, since it is larger than the sum of its proper divisors (222934675).

444056013 is an equidigital number, since it uses as much as digits as its factorization.

444056013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5015 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 444056013 is about 21072.6365934593. The cubic root of 444056013 is about 762.9204420666.

The spelling of 444056013 in words is "four hundred forty-four million, fifty-six thousand, thirteen".

Divisors: 1 3 9 27 81 243 397 1191 3573 4603 10719 13809 32157 41427 96471 124281 372843 1118529 1827391 5482173 16446519 49339557 148018671 444056013